= ∫ ^(1)_(0)( ∫ ^(x^3)_(-∛x)( 18x^2y^2+32x^3y^3)dy=
=∫ ^(1)_(0)(18x^2*(y^3/3) + 32x^3*(y^4/4))|^(y=x^3)_(y=-∛x) dx=
=∫ ^(1)_(0)(6x^2*((x^3)^3-(-∛x)^3) +8x^3*(x^(3)^(4) - (- ∛x)^4)dx=
=∫ ^(1)_(0)(6x^2*(x^9+x) +8x^3*(x^(12) - ∛(x^4))dx=
=∫ ^(1)_(0)(6x^(11)+6x^3+8x^(15) - 8x^(13/3))dx=
=(6*(x^(12)/12) +6*(x^(4)/4)+8*(x^(16/16) -8*(x^(16/3)/(16/3))|^(1)_(0)=
=2*1+(3/2)*1+(1/2)*1-(3/2)*1=5/2